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Finding the Third Proportional to 778,209 and 1,428,546

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Solution

The third proportional to 778,209 and 1,428,546 is: 2,622,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,209 : 1,428,546 = 1,428,546 : x
  2. Step 2: Convert to fraction form
    778,209/1,428,546 = 1,428,546/x
  3. Step 3: Cross multiply
    778,209x = 1,428,546 × 1,428,546
  4. Step 4: Simplify right side
    778,209x = 2,040,743,674,116
  5. Step 5: Solve for x
    x = 2,040,743,674,116/778,209
  6. Step 6: Final answer
    x = 2,622,359.38

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.